TY - JOUR
T1 - High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing
AU - Wang , Wei
AU - Shu , Chi-Wang
AU - C. Yee , H.
AU - V. Kotov , Dmitry
AU - Sjögreen , Björn
JO - Communications in Computational Physics
VL - 2
SP - 317
EP - 336
PY - 2018
DA - 2018/04
SN - 17
DO - http://doi.org/10.4208/cicp.250214.130814a
UR - https://global-sci.org/intro/article_detail/cicp/10960.html
KW - 
AB - <p style="text-align: justify;">In this paper, we extend the high order finite-difference method with subcell
resolution (SR) in [34] for two-species stiff one-reaction models to multispecies and
multireaction inviscid chemical reactive flows, which are significantly more difficult
because of the multiple scales generated by different reactions. For reaction problems,
when the reaction time scale is very small, the reaction zone scale is also small and
the governing equations become very stiff. Wrong propagation speed of discontinuity
may occur due to the underresolved numerical solution in both space and time.
The present SR method for reactive Euler system is a fractional step method. In the
convection step, any high order shock-capturing method can be used. In the reaction
step, an ODE solver is applied but with certain computed flow variables in the shock
region modified by the Harten subcell resolution idea. Several numerical examples
of multispecies and multireaction reactive flows are performed in both one and two
dimensions. Studies demonstrate that the SR method can capture the correct propagation
speed of discontinuities in very coarse meshes.</p>